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Paper detail

Effective numerical computation of $p(x)-$Laplace equations in 2D

In this article we implement a method for the computation of a nonlinear elliptic problem with nonstandard growth driven by the $p(x)-$Laplacian operator. Our implementation is based in the {\em decomposition--coordination} method that allows us, via an iterative process, to solve in each step a linear differential equation and a nonlinear algebraic equation. Our code is implemented in {\sc MatLab} in 2 dimensions and turns out to be extremely efficient from the computational point of view.

preprint2023arXivOpen access
Adriana AragonJulian Fernandez BonderDiana Rubio
math.APmath.NANumerical Analysis
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Adriana AragonJulian Fernandez BonderDiana Rubio

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